Scope of the presented thesis describes the development of a numerical model, for eccentric collision detection and processing, for research of particle interaction phenomena of multiphase flows. Mathematical model is based on the assumption of ideal, rigid impacts with negligible friction effects. Numerical formulation is composed of tridimensional geometry discretization, collision detection with particle overlap analysis, vector transformations into reference frames, numerical equation solving and application of resulting vectors to particle dynamics. Developed model has been tested through the process of verification with simplified analytical particle collision problems and trough the process of validation with energy conservation evaluation for a set of random impacts. Based on the results, it was concluded, that the model is appropriate for its intended use, within reasonable limits, defined trough the scope of this thesis.